Answer: A. (5; 0), B. (0; - 5), C. (-5; 0), D. (0; 5).
Step-by-step explanation:
A. (5; _) [x = 5; y - ?]
x² + y² = 25
5² + y² = 25
25 + y² = 25
25 + y² - 25 = 25 - 25
y² = 0
y = 0
A. (5; 0)
B. (_; -5) [x - ?; y = -5]
x² + y² = 25
x² + (- 5)² = 25
x² + 25 = 25
x² + 25 = 25
x² + 25 - 25 = 25 - 25
x² = 0
x = 0
B. (0; - 5)
C. (_; 0) [x - ?; y = 0]
x² + y² = 25
x² + 0² = 25
x² + 0 = 25
x² = 25
x = ± √25 = ± 5
C. (-5; 0) or (5; 0)
Point A has coordinates (5; 0), which means that
point C has coordinates (-5; 0).
D. (0; _) [x = 0; y - ?]
x² + y² = 25
0² + y² = 25
0 + y² = 25
y² = 25
y = ± √25 = ± 5
D. (0; - 5) or (0; 5)
Point B has coordinates (0; -5), which means that
point D has coordinates (0; 5).
